Definite Integrals Test

Result

Definite Integrals Test - 69

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Weekly Quiz Competition

Question 1
4 / -1

A
2

B
–2

C
1/2

D
None of these

Solution
Question 2
4 / -1

The area bounded by the curve y = x³, x-axis and two ordinates x = 1 to x = 2 equal to

A

B

C

D

Solution
Question 3
4 / -1

The area bounded by the parabola y² = 4ax, its axis and two ordinates x = 4, x = 9 is

A
4a²

B
4a².4

C
4a²(9 – 4)

D

Solution
Question 4
4 / -1

The area of the region bounded by the x-axis and the curves defined by y = tan x, (–π/3 ≤ x ≤ π/3) is

A
log √2

B
– log √2

C
2 log 2

D
0

Solution
Question 5
4 / -1

If a curve y = a√x + bx passes through the point (1,2) and the area bounded by the curve , line x = 4 and x-axis is 8 sq.unit, then

A
a = 3, b = –1

B
a = 3, b = 1

C
a = –3, b = 1

D
a = –3, b = –1

Solution
Question 6
4 / -1

A
1/2

B
1

C
–1

D
2

Solution
Question 7
4 / -1

The area bounded by the curve y = f(x), x–axis and ordinates x = 1 and x = b is (b – 1) sin (3b + 4), then f(x) is

A
3(x – 1) cos(3x + 4) + sin (3x + 4)

B
(b – 1) sin(3x + 4) + 3 cos (3x + 4)

C
(b – 1) cos(3x + 4) + 3 sin (3x + 4)

D
None ot the above

Solution
Question 8
4 / -1

Area under the curve y = x² – 4x within the x-axis and the line x = 2, is

A

B

C

D
Cannot be calculated

Solution
Question 9
4 / -1

The area bounded the straight lines x = 0, x = 2 and the curves y = 2^x, y = 2x – x² is

A

B

C

D

Solution
Question 10
4 / -1

A

B
1 sq.unit

C

D

Solution